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Finding the Fourth Proportional to 197,543.76, 296,330.76 and 85,226.64

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Solution

The fourth proportional to 197,543.76, 296,330.76 and 85,226.64 is: 127,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,543.76 : 296,330.76 = 85,226.64 : x
  2. Step 2: Convert to fraction form
    197,543.76/296,330.76 = 85,226.64/x
  3. Step 3: Cross multiply
    197,543.76x = 296,330.76 × 85,226.64
  4. Step 4: Simplify right side
    197,543.76x = 25,255,275,003.45
  5. Step 5: Solve for x
    x = 25,255,275,003.45/197,543.76
  6. Step 6: Final answer
    x = 127,846.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.